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Finding the Third Proportional to 14,691 and 20,943

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Solution

The third proportional to 14,691 and 20,943 is: 29,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 20,943 = 20,943 : x
  2. Step 2: Convert to fraction form
    14,691/20,943 = 20,943/x
  3. Step 3: Cross multiply
    14,691x = 20,943 × 20,943
  4. Step 4: Simplify right side
    14,691x = 438,609,249
  5. Step 5: Solve for x
    x = 438,609,249/14,691
  6. Step 6: Final answer
    x = 29,855.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.